Answer: The second number is 26
Step-by-step explanation:
To solve this problem you must apply the proccedure shown below:
1. Let's call:
x: The first even number.
x+2: the second consecutive even number.
x+4: the third consecutive even number.
2. So, you know that the sum ot the 3 consecutive numbers is 78, therefore, you must add them, as you can see below:
[tex]x+(x+2)+(x+4)=78\\3x+6=78\\3x=78-6\\3x=72\\x=\frac{72}{3}\\x=24[/tex]
3. Substitute the value obtain into x+2. Therefore, the second number is:
[tex]x+2=24+2=26[/tex]
